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230452416 = 26323471153
BaseRepresentation
bin11011011110001…
…10110011000000
3121001122012021200
431233012303000
5432443434131
634511221200
75465545635
oct1557066300
9531565250
10230452416
111090a2347
1265217800
133898a19c
142286c18c
15153722e6
hexdbc6cc0

230452416 has 84 divisors (see below), whose sum is σ = 663028392. Its totient is φ = 76529664.

The previous prime is 230452403. The next prime is 230452441. The reversal of 230452416 is 614254032.

230452416 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 230452416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199296 + ... + 200448.

Almost surely, 2230452416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230452416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331514196).

230452416 is an abundant number, since it is smaller than the sum of its proper divisors (432575976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230452416 is a wasteful number, since it uses less digits than its factorization.

230452416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 230452416 is about 15180.6592742213. The cubic root of 230452416 is about 613.0940318287.

The spelling of 230452416 in words is "two hundred thirty million, four hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 347 576 694 1041 1153 1388 2082 2306 2776 3123 3459 4164 4612 5552 6246 6918 8328 9224 10377 11104 12492 13836 16656 18448 20754 22208 24984 27672 33312 36896 41508 49968 55344 66624 73792 83016 99936 110688 166032 199872 221376 332064 400091 664128 800182 1200273 1600364 2400546 3200728 3600819 4801092 6401456 7201638 9602184 12802912 14403276 19204368 25605824 28806552 38408736 57613104 76817472 115226208 230452416